You would be able to fit it in a space that width, but you do need vertical room to hang it on a mounting bracket. The tv dimensions are

58.5”W x 34.4”H x 3.9”D

Because of the way it is recessed though, it would become difficult to connect cords on the back, so I would suggest using a dual arm articulating wall mount, which can pull out away from the wall/alcove to make it easier to hang up and make cable connections, then you can push it back in when needed, and easily back out as needed too, to rotate to the side for a better viewing angle, etc. Example: http://amzn.to/1UjJ85J